Does the head covering of a woman meant to cover her glory?

Does the head covering hide the woman’s glory and the man’s glory so that all glories are hidden except Christ’s?

A woman’s long hair may be her beauty, but that is different from her glory. Her long hair is the recognition of headship which God has established (1Co 11:15). As it was to Eve’s shame that she didn’t recognize this truth (Gen 3:6), so it is a woman’s glory to display headship by her long hair. The head covering a woman wears covers her head, not her glory. The covering of her physical head displays that the headship of the man, her head (1Co 11:5), is not in view in the assembly. The man’s physical head is uncovered so the headship of Christ, his Head, is expressed (v. 4).

D. Oliver